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4vir4ik [10]
3 years ago
5

The tenth term of an arithmetic sequence is 73 2 , and the second term is 9 2 . Find the first term.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0

The first term of an arithmetic sequence is 1.2 with a common difference of 8.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Tenth term of an arithmetic sequence = 73.2  or

a+(10-1)d = 73.2 ....(1)

Second term of an arithmetic sequence = 9.2 or

a+(2-1)d = 9.2 .....(2)

Where a is the first term and d is a common difference.

Solving equations (1) and (2)

From the equation (2) put the value of d in the equation (1), we get:

a+9(9.2-a) = 73.2

a+82.8 - 9a = 73.2

-8a = -9.6

a = 1.2

Thus, the first term of an arithmetic sequence is 1.2 with a common difference 8.

Learn more about the sequence here:

brainly.com/question/21961097

Digiron [165]3 years ago
6 0

Answer:

1.2

Step-by-step explanation:

9.2 + 8d = 73.2

d = 8

then first term is   9.2 - d = 1.2

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